First off I said, "Focus on the ball around the basket, IOW I'm not worrying about GT or BI, so my entire focus is on the players.

Second, I find myself working much lower and more off the sideline as trail when doing the girls, and it's not because I know I risk getting beat back in a boys game, it's because I can since the action is lower and more congested with the girls.

And did you tell game management to get a new net for the 2nd half?

I was thinking this, too. After the shot, did the other team do a throwin? The lead should have noticed that if nothing else.
I had the reverse situation on a free throw as lead. Shot goes up, ball comes down close enough to the rim that I thought it went in. It hits B1 on the head and goes OOB. No whistle from me, as I stand there waiting for B to do a throwin. A1 then looks at me and asks, "our ball, right?" Then it dawned on me that the ball didn't go in (I had to assume it hit the rim since trail didn't call a violation.)
Similar situation, sometimes you have to judge by the players' reactions on shots that go in.

The AD was already out there with a ladder by the time we changed the arrow and checked the book.

Kicked It
 

My worst call of the year: Girls varsity. A few seconds to go in the first quarter. I'm the trail, responsible for the shot and the clock. A-1 attempts a three-pointer from my primary with no defender near her. Still no horn. I watch the flight of the ball. It clangs off the rim and bounces high above the rim. Still no horn. In a boys game, I would be watching for basket interference, but since it was a girls game, I decided to glance at the clock, due to the new definite time knowledge rule, in case of a rebounding foul. Tenths of a second left. I turn back to the ball and basket to see the ball enter the basket at the buzzer. I count the three-pointer to end the quarter.

A few Team B players politely tell me the ball hit a supporting wire. I can also tell from the reaction of the crowd that it probably hit the supporting wire. I go to my partner who was the lead, to see if he can help me. Of course he can't, which I already knew, because his responsibility is to keep his eyes down, looking for rebounding fouls. But I ask him anyway, to show the Team B head coach, who is questioning my call, that I'm trying to get as much information as possible. My partner says that he didn't see it hit the supporting wire. I tell the Team B head coach that I can't change a call without definite knowledge, and I say "I'm sorry if I missed it". He says, "Sorry doesn't take away the three points" and appears very upset with me.

In the locker room at halftime, the junior varsity officials, who had stayed to watch the varsity game, say that the ball did hit the supporting wire. Going onto the court after halftime, the Team B head coach apologizes for losing his temper, which never even approached the need for a technical foul. I accept his apology, and explain to him that I missed the ball touching the supporting wire because I had glanced at the clock to check the time. Before the second half started, all the members of the table crew, from both teams told me that the ball had hit the supporting wire.

My question: Since the scorers and the timer at the table are considered part of our officiating crew, could I have gone to them for help on this call at the end of the first quarter to correct the call ?

I'd ask them what they saw.